Number one modern rock hits of 1991
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These are the Billboard magazine Modern Rock Tracks number one hits of 1991.
| Issue Date | Song | Artist |
| January 5 | More | The Sisters Of Mercy |
| January 12 | More | The Sisters Of Mercy |
| January 19 | Kinky Afro | Happy Mondays |
| January 26 | All This Time | Sting |
| February 2 | All This Time | Sting |
| February 9 | Right Here, Right Now | Jesus Jones |
| February 16 | Right Here, Right Now | Jesus Jones |
| February 23 | Right Here, Right Now | Jesus Jones |
| March 2 | Right Here, Right Now | Jesus Jones |
| March 9 | Right Here, Right Now | Jesus Jones |
| March 16 | Losing My Religion | R.E.M. |
| March 23 | Losing My Religion | R.E.M. |
| March 30 | Losing My Religion | R.E.M. |
| April 6 | Losing My Religion | R.E.M. |
| April 13 | Losing My Religion | R.E.M. |
| April 20 | Losing My Religion | R.E.M. |
| April 27 | Losing My Religion | R.E.M. |
| May 4 | Losing My Religion | R.E.M. |
| May 11 | See the Lights | Simple Minds |
| May 18 | See the Lights | Simple Minds |
| May 25 | The Other Side of Summer | Elvis Costello |
| June 1 | The Other Side of Summer | Elvis Costello |
| June 8 | The Other Side of Summer | Elvis Costello |
| June 15 | The Other Side of Summer | Elvis Costello |
| June 22 | Get the Message | Electronic |
| June 29 | Get the Message | Electronic |
| July 6 | Kiss Them for Me | Siouxsie and the Banshees |
| July 13 | Kiss Them for Me | Siouxsie and the Banshees |
| July 20 | Kiss Them for Me | Siouxsie and the Banshees |
| July 27 | Kiss Them for Me | Siouxsie and the Banshees |
| August 3 | Kiss Them for Me | Siouxsie and the Banshees |
| August 10 | Rush | Big Audio Dynamite II |
| August 17 | Rush | Big Audio Dynamite II |
| August 24 | Rush | Big Audio Dynamite II |
| August 31 | Rush | Big Audio Dynamite II |
| September 7 | Until She Comes | Psychedelic Furs |
| September 14 | Until She Comes | Psychedelic Furs |
| September 21 | So You Think You're in Love | Robyn Hitchcock |
| September 28 | So You Think You're in Love | Robyn Hitchcock |
| October 5 | So You Think You're in Love | Robyn Hitchcock |
| October 12 | So You Think You're in Love | Robyn Hitchcock |
| October 19 | So You Think You're in Love | Robyn Hitchcock |
| October 26 | Give It Away | Red Hot Chili Peppers |
| November 2 | Give It Away | Red Hot Chili Peppers |
| November 9 | The Fly | U2 |
| November 16 | The Fly | U2 |
| November 23 | Smells Like Teen Spirit | Nirvana |
| November 30 | Mysterious Ways | U2 |
| December 7 | Mysterious Ways | U2 |
| December 14 | Mysterious Ways | U2 |
| December 21 | Mysterious Ways | U2 |
| December 28 | Mysterious Ways | U2 |
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1980 | 1981 | 1982 | 1983 | 1984 | 1985 | 1986 | 1987 | 1988 | 1989 |
